Maths-
General
Easy
Question
Is the relation shown in the table a function ? Explain
Hint:
An ordered pair is represented as (INPUT, OUTPUT)
A function from set A to the set B is a relation which associates every element of a set A to unique element of set B.
The correct answer is: { 1 , 3 , 4 , 5 }
We have given the data in the tabular form
We will write it in point form
(4 , 1)(8 , 3) (4 , 5)(8 ,4)
Domain:- { 4 , 8}
Co- Domain:- { 1 , 3 , 4 , 5 }
From the given data we can analyse that the member in the domain set i.e. 4 has two images i.e. 1 and 5 in the co-domain
And 8 has two images as 3 and 4 in the co-domain.
We know that in a function one member in the domain set cannot have two images in the co-domain set.
Therefore, the given relation is not a function.
All functions are relations but all relations are not functions.
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